MathDB
2017-2018 Spring OMO Problem 4

Source:

April 3, 2018

Problem Statement

Define f(x)=∣x−1∣f(x) = |x-1|. Determine the number of real numbers xx such that f(f(⋯f(f(x))⋯ ))=0f(f(\cdots f(f(x))\cdots )) = 0, where there are 20182018 ff's in the equation.
Proposed by Yannick Yao
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